Results 21 to 30 of about 5,498,636 (143)
New results for Srivastava’s λ-generalized Hurwitz-Lerch Zeta function
Filomat, 2017 In view of the relationship with the Kr?tzel function, we derive a new series representation for the ?-generalized Hurwitz-Lerch Zeta function introduced by H.M. Srivastava [Appl. Math. Inf. Sci. 8 (2014) 1485-1500] and determine the monotonicity of its coeficients.
Luo, Min-Jie, Raina, R. K.
openaire +3 more sources
Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties [PDF]
مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The main object of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function given in [1]. Some recurrence relations, generating functions and integral representations are derived for that new extension.
Ahmed Ali Al-Gonah +1 more
doaj +2 more sources
Partial Sums of Generalized Class of Analytic Functions Involving Hurwitz-Lerch Zeta Function [PDF]
Abstract and Applied Analysis, 2011 Let fn(z)=z+∑k=2nakzk be the sequence of partial sums of the analytic function f(z)=z+∑k=2∞akzk. In this paper, we determine sharp lower bounds for ℜ{f(z)/fn(z)}, ℜ{fn(z)/f(z)}, ℜ{f′(z)/fn′(z)}, and ℜ{fn′(z)/f′(z)}.
G. Murugusundaramoorthy +2 more
doaj +3 more sources
New result of analytic functions related to Hurwitz zeta function. [PDF]
ScientificWorldJournal, 2013 By using a linear operator, we obtain some new results for a normalized analytic function f defined by means of the Hadamard product of Hurwitz zeta function. A class related to this function will be introduced and the properties will be discussed.
Ghanim F, Darus M.
europepmc +2 more sources
Solution of fractional kinetic equations involving generalized Hurwitz-Lerch Zeta function using Sumudu transform [PDF]
, 2021 Fractional kinetic equations (FKEs) comprising a large array of special functions have been extensively and successfully applied in specification and solving many significant problems of astrophysics and physics.
Yağcı, Oğuz, Şahin, Recep
core +2 more sources
Aspects of the screw function corresponding to the Riemann zeta‐function
Journal of the London Mathematical Society, Volume 108, Issue 4, Page 1448-1487, October 2023., 2023 Abstract We introduce a screw function corresponding to the Riemann zeta‐function and study its properties from various aspects. Typical results are several equivalent conditions for the Riemann hypothesis in terms of the screw function. One of them can be considered an analog of so‐called Weil's positivity or Li's criterion.
Masatoshi Suzuki
wiley +1 more source
A family of incomplete Hurwitz-Lerch zeta functions of two variables [PDF]
Miskolc Mathematical Notes, 2020 Inspired essentially by the work [H. M. Srivastava, M. A. Chaudhry and R. P. Agarwal [The incomplete Pochhammer symbols and their applications to hypergeometric and related functions, Integral Transforms Spec. Funct. 23 (2012), 659-683] (see [16])], we introduce the families of the incomplete Hurwitz-Lerch Zeta functions of two variables.
Srivastava, H. M. +2 more
openaire +4 more sources
The Mellin Transform of Logarithmic and Rational Quotient Function in terms of the Lerch Function
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 Upon reading the famous book on integral transforms volume II by Erdeyli et al., we encounter a formula which we use to derive a Mellin transform given by ∫0∞xm−1logkax/β2+x2γ+xdx, where the parameters a, k, β, and γ are general complex numbers. This Mellin transform will be derived in terms of the Lerch function and is not listed in current literature
Robert Reynolds +2 more
wiley +1 more source
مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
doaj +1 more source
On extended Hurwitz–Lerch zeta function
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Min-Jie +2 more
openaire +2 more sources